Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology

Marc Durand, Jos Kafer, Catherine Quilliet, Simon John Cox, Shirin Ataei Talebi, Francois Graner

Research output: Contribution to journalArticlepeer-review

24 Citations (SciVal)
184 Downloads (Pure)

Abstract

We propose an analytical model for the statistical mechanics of shuffled two-dimensional foams with moderate bubble size polydispersity. It predicts without any adjustable parameters the correlations between the number of sides n of the bubbles (topology) and their areas A (geometry) observed in experiments and numerical simulations of shuffled foams. Detailed statistics show that in shuffled cellular patterns n correlates better with sqrt(A) (as claimed by Desch and Feltham) than with A (as claimed by Lewis and widely assumed in the literature). At the level of the whole foam, standard deviations Delta n and Delta A are in proportion. Possible applications include correlations of the detailed distributions of n and A, three-dimensional foams, and biological tissues.
Original languageEnglish
Pages (from-to)168304-168309
Number of pages5
JournalPhysical Review Letters
Volume107
Issue number16
DOIs
Publication statusPublished - 13 Feb 2012

Fingerprint

Dive into the research topics of 'Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology'. Together they form a unique fingerprint.

Cite this